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A bstract We continue the study of random matrix universality in two-dimensional conformal
field theories. This is facilitated by expanding the spectral form factor in a basis of modular …

In this article, we study the Beilinson–Bloch–Kato conjecture for motives associated to
Rankin–Selberg products of conjugate self-dual automorphic representations, within the …

Let be the p-adic Galois representation attached to a cuspidal, regular algebraic
automorphic representation of GLn of unitary type. Under very mild hypotheses on, we prove …

In this paper, we will be concerned with the average behavior of the n th normalized Fourier
coefficients of symmetric square L-function (ie, L (s, sym 2 f)) over certain sequence of …

Let λ f (n) denote the n th normalized Fourier coefficient of the primitive holomorphic cusp
forms of even integral weight k≥ 2 for the full modular group SL (2, Z). For x≥ 1, we are …

Let j≥ 2 be a given integer. Let f be a normalized primitive holomorphic cusp form of even
integral weight for the full modular group Γ= SL (2, Z). Denote by λ sym jf (n) the n th …

Let be a holomorphic cuspidal newform with even integral weight, level N, trivial nebentypus
and no complex multiplication. For all primes p, we may define such that. The Sato–Tate …

Let λ f (n) be the n-th normalized Fourier coefficient of primitive holomorphic cusp form of
even integral weight k≥ 2 for the full modular group SL (2, Z). In this paper, we first refine …

We extend the Matomäki–Radziwiłł theorem to a large collection of unbounded
multiplicative functions that are uniformly bounded, but not necessarily bounded by 1, on the …